A more general definition of disentanglement in terms of group theory was given in [1]}. Under their definition, a representation is disentangled if it matches the product of groups that define the symmetries in the world, i.e.
if the representation decomposes in such a way that the action of a single subgroup leaves all
factors of the representation invariant except for one.
A first practical tentative in this direction was proposed by [2]}, which aims to discover a decomposition of a data manifold by investigating its holonomy group; but in order to work properly, the method requires to have full access to the metric of the data manifold.
Differently, we provide a simple algorithm to obtain a disentangled representation in the form of a plug-in module for any autoencoder model.
